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Finding the Third Proportional to 85,174.88 and 185,263.88

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Solution

The third proportional to 85,174.88 and 185,263.88 is: 402,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174.88 : 185,263.88 = 185,263.88 : x
  2. Step 2: Convert to fraction form
    85,174.88/185,263.88 = 185,263.88/x
  3. Step 3: Cross multiply
    85,174.88x = 185,263.88 × 185,263.88
  4. Step 4: Simplify right side
    85,174.88x = 34,322,703,380.02
  5. Step 5: Solve for x
    x = 34,322,703,380.02/85,174.88
  6. Step 6: Final answer
    x = 402,967.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.